Adaptive wavelet output regulation for nonlinear systems

Abstract

Wavelet adaptive output regulation design procedure is developed for highly uncertain nonlinear system. We consider uncertainties, tracking reference trajectories (or) rejecting disturbance are unknown but bounded which are exists in exosystem whose output error are known, but it has arbitrary relative degree. We present wavelet adaptive controller is the principal controller while output regulation design to achieve the desired performance by attenuating the effect of output error to maintaining stability. Wavelet adaptations are derived for system linearization and wavelet identifiers are used synchronize the controller to system dynamics from input/output data. Practical and approximate regulation results are derived from Lyapunov function to guarantying system with uncertainties, tracking reference trajectories (or) rejecting disturbance is stable and tracking errors are bounded. Finally, specific examples are shown in order to demonstrate the applicability of the result.